Q: What are the prime factors of the number 182,035,386?

 A: 2, 3, 13, 23, 149, 227

Why are those the prime factors of the number 182,035,386?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 182,035,386

182,035,386
Factor Arrows
291,017,693
Factor Arrows
330,339,231
Factor Arrows
310,113,077
Factor Arrows
13777,929
Factor Arrows
2333,823
Factor Arrows
149227

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 23, 149, 227

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 23 x 149 x 227 = 182,035,386

This can also be written as 21 x 32 x 131 x 231 x 1491 x 2271 = 182,035,386

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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